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        <a href="octant-module.html">Package&nbsp;octant</a> ::
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        Module&nbsp;heat
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<h1 class="epydoc">Source Code for <a href="octant.sw.heat-module.html">Module octant.sw.heat</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-comment"># --- encoding: iso-8859-1 ---</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-docstring">"""Seawater heat module</tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-docstring">heatcap(S, T[, P])       -- Heat capacity</tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-docstring">adtgrad(S, T[, P])       -- Adiabatic temperature gradiente</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-docstring">temppot(S, T, P[, Pref]) -- Potential temperature</tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"><tt class="py-docstring">temppot0(S, T, P)        -- Potential temperature, relative to surface</tt> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt class="py-docstring">Bj&#248;rn &#197;dlandsvik, &lt;bjorn@imr.no&gt;, 07 November 2004</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-comment"># -------------------------------------------------</tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="heatcap"></a><div id="heatcap-def"><a name="L16"></a><tt class="py-lineno"> 16</tt> <a class="py-toggle" href="#" id="heatcap-toggle" onclick="return toggle('heatcap');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.heat-module.html#heatcap">heatcap</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt> <tt class="py-param">T</tt><tt class="py-op">,</tt> <tt class="py-param">P</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="heatcap-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="heatcap-expanded"><a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line">    <tt class="py-docstring">"""Compute heat capacity</tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line"><tt class="py-docstring">    Usage: heatcap(S, T, [P])</tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line"><tt class="py-docstring">    Input:</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line"><tt class="py-docstring">        S = Salinity,     [PSS-78]</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line"><tt class="py-docstring">        T = Temperature,  [&#176;C]</tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line"><tt class="py-docstring">        P = Pressure,     [dbar]</tt> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line"><tt class="py-docstring">    P is optional, with a default value = zero</tt> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line"><tt class="py-docstring">    Output:</tt> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line"><tt class="py-docstring">        Heat capacity  [J/(kg*K)]</tt> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line"><tt class="py-docstring">    Algorithm: UNESCO 1983</tt> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line">     </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line">    <tt class="py-name">P</tt> <tt class="py-op">=</tt> <tt class="py-number">0.1</tt><tt class="py-op">*</tt><tt class="py-name">P</tt>  <tt class="py-comment"># Conversion to bar</tt> </tt>
<a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line"> </tt>
<a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line">    <tt class="py-comment"># - Temperatur dependence</tt> </tt>
<a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-name">c0</tt> <tt class="py-op">=</tt>  <tt class="py-number">4217.4</tt> </tt>
<a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line">    <tt class="py-name">c1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">3.720283</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line">    <tt class="py-name">c2</tt> <tt class="py-op">=</tt>  <tt class="py-number">0.1412855</tt> </tt>
<a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line">    <tt class="py-name">c3</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">2.654387e-3</tt> </tt>
<a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line">    <tt class="py-name">c4</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.093236e-5</tt> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line"> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line">    <tt class="py-name">a0</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">7.64357</tt> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line">    <tt class="py-name">a1</tt> <tt class="py-op">=</tt>  <tt class="py-number">0.1072763</tt> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line">    <tt class="py-name">a2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.38385e-3</tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line"> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line">    <tt class="py-name">b0</tt> <tt class="py-op">=</tt>  <tt class="py-number">0.1770383</tt> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line">    <tt class="py-name">b1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">4.07718e-3</tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line">    <tt class="py-name">b2</tt> <tt class="py-op">=</tt>  <tt class="py-number">5.148e-5</tt> </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line"> </tt>
<a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line">    <tt class="py-name">CP0</tt> <tt class="py-op">=</tt>  <tt class="py-name">c0</tt> <tt class="py-op">+</tt> <tt class="py-name">c1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-name">c2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-name">c3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">3</tt> <tt class="py-op">+</tt> <tt class="py-name">c4</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">4</tt>  \ </tt>
<a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line">          <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a0</tt> <tt class="py-op">+</tt> <tt class="py-name">a1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-name">a2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt> \ </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line">          <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">b0</tt> <tt class="py-op">+</tt> <tt class="py-name">b1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-name">b2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt><tt class="py-op">**</tt><tt class="py-number">1.5</tt> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line"> </tt>
<a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line">    <tt class="py-comment"># - Pressure dependence    </tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-name">a0</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">4.9592e-1</tt> </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line">    <tt class="py-name">a1</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.45747e-2</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line">    <tt class="py-name">a2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">3.13885e-4</tt> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line">    <tt class="py-name">a3</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.0357e-6</tt> </tt>
<a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line">    <tt class="py-name">a4</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.7168e-8</tt> </tt>
<a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line"> </tt>
<a name="L62"></a><tt class="py-lineno"> 62</tt>  <tt class="py-line">    <tt class="py-name">b0</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.4931e-4</tt> </tt>
<a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line">    <tt class="py-name">b1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.08645e-5</tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line">    <tt class="py-name">b2</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.87533e-7</tt> </tt>
<a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line">    <tt class="py-name">b3</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">4.0027e-9</tt> </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line">    <tt class="py-name">b4</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.2956e-11</tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line"> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line">    <tt class="py-name">c0</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">5.422e-8</tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line">    <tt class="py-name">c1</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.6380e-9</tt> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line">    <tt class="py-name">c2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">6.5637e-11</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line">    <tt class="py-name">c3</tt> <tt class="py-op">=</tt>  <tt class="py-number">6.136e-13</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line"> </tt>
<a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line">    <tt class="py-name">CP1</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">a0</tt> <tt class="py-op">+</tt> <tt class="py-name">a1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-name">a2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-name">a3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">3</tt> <tt class="py-op">+</tt> <tt class="py-name">a4</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">4</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt>  \ </tt>
<a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line">              <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">b0</tt> <tt class="py-op">+</tt> <tt class="py-name">b1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-name">b2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-name">b3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">3</tt> <tt class="py-op">+</tt> <tt class="py-name">b4</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">4</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> \ </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line">              <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">c0</tt> <tt class="py-op">+</tt> <tt class="py-name">c1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-name">c2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-name">c3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">3</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">**</tt><tt class="py-number">3</tt> </tt>
<a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line"> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line">    <tt class="py-comment"># - Salinity dependence    </tt> </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-name">d0</tt> <tt class="py-op">=</tt>  <tt class="py-number">4.9247e-3</tt> </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line">    <tt class="py-name">d1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.28315e-4</tt> </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line">    <tt class="py-name">d2</tt> <tt class="py-op">=</tt>  <tt class="py-number">9.802e-7</tt> </tt>
<a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line">    <tt class="py-name">d3</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.5941e-8</tt> </tt>
<a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line">    <tt class="py-name">d4</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">2.9179e-10</tt> </tt>
<a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line"> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line">    <tt class="py-name">e0</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.2331e-4</tt> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line">    <tt class="py-name">e1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.517e-6</tt> </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line">    <tt class="py-name">e2</tt> <tt class="py-op">=</tt>  <tt class="py-number">3.122e-8</tt> </tt>
<a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line"> </tt>
<a name="L88"></a><tt class="py-lineno"> 88</tt>  <tt class="py-line">    <tt class="py-name">f0</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">2.9558e-6</tt> </tt>
<a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line">    <tt class="py-name">f1</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.17054e-7</tt> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line">    <tt class="py-name">f2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">2.3905e-9</tt> </tt>
<a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line">    <tt class="py-name">f3</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.8448e-11</tt> </tt>
<a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line"> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line">    <tt class="py-name">g0</tt> <tt class="py-op">=</tt>  <tt class="py-number">9.971e-8</tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line">  </tt>
<a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line">    <tt class="py-name">h0</tt> <tt class="py-op">=</tt>  <tt class="py-number">5.540e-10</tt> </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line">    <tt class="py-name">h1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.7682e-11</tt> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line">    <tt class="py-name">h2</tt> <tt class="py-op">=</tt>  <tt class="py-number">3.513e-13</tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line"> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line">    <tt class="py-name">j1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.4300e-12</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line">    <tt class="py-name">S3_2</tt>  <tt class="py-op">=</tt> <tt class="py-name">S</tt><tt class="py-op">**</tt><tt class="py-number">1.5</tt> </tt>
<a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line"> </tt>
<a name="L102"></a><tt class="py-lineno">102</tt>  <tt class="py-line">    <tt class="py-name">CP2</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">d0</tt> <tt class="py-op">+</tt> <tt class="py-name">d1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-name">d2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-name">d3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">3</tt> <tt class="py-op">+</tt> <tt class="py-name">d4</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">4</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt> \ </tt>
<a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line">           <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">e0</tt> <tt class="py-op">+</tt> <tt class="py-name">e1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-name">e2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S3_2</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt>  \ </tt>
<a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line">           <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">f0</tt> <tt class="py-op">+</tt> <tt class="py-name">f1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-name">f2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-name">f3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">3</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt>  \ </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line">           <tt class="py-op">+</tt>   <tt class="py-name">g0</tt><tt class="py-op">*</tt><tt class="py-name">S3_2</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> \ </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line">           <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">h0</tt> <tt class="py-op">+</tt> <tt class="py-name">h1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-name">h2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt> <tt class="py-op">+</tt> <tt class="py-name">j1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-name">S3_2</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">**</tt><tt class="py-number">3</tt> </tt>
<a name="L107"></a><tt class="py-lineno">107</tt>  <tt class="py-line">      </tt>
<a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line"> </tt>
<a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">CP0</tt> <tt class="py-op">+</tt> <tt class="py-name">CP1</tt> <tt class="py-op">+</tt> <tt class="py-name">CP2</tt> </tt>
</div><a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line"> </tt>
<a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line"><tt class="py-comment"># --------------------------------------------------------------</tt> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="adtgrad"></a><div id="adtgrad-def"><a name="L113"></a><tt class="py-lineno">113</tt> <a class="py-toggle" href="#" id="adtgrad-toggle" onclick="return toggle('adtgrad');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.heat-module.html#adtgrad">adtgrad</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt> <tt class="py-param">T</tt><tt class="py-op">,</tt> <tt class="py-param">P</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="adtgrad-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="adtgrad-expanded"><a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line">    <tt class="py-docstring">"""Compute adiabatic temperature gradient</tt> </tt>
<a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L116"></a><tt class="py-lineno">116</tt>  <tt class="py-line"><tt class="py-docstring">    Usage: adtgrad(S, T, [P])</tt> </tt>
<a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line"><tt class="py-docstring">    Input:</tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line"><tt class="py-docstring">        S = Salinity,     [PSS-78]</tt> </tt>
<a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line"><tt class="py-docstring">        T = Temperature,  [&#176;C]</tt> </tt>
<a name="L121"></a><tt class="py-lineno">121</tt>  <tt class="py-line"><tt class="py-docstring">        P = Pressure,     [dbar]</tt> </tt>
<a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line"><tt class="py-docstring">    P is optional, with a default value = zero</tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line"><tt class="py-docstring">    Output:</tt> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line"><tt class="py-docstring">        Adiabatic temperature gradient,  [K/dbar]</tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line"><tt class="py-docstring">    Algorithm: UNESCO 1983</tt> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line">     </tt>
<a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line">    <tt class="py-name">a0</tt> <tt class="py-op">=</tt>  <tt class="py-number">3.5803e-5</tt> </tt>
<a name="L132"></a><tt class="py-lineno">132</tt>  <tt class="py-line">    <tt class="py-name">a1</tt> <tt class="py-op">=</tt> <tt class="py-op">+</tt><tt class="py-number">8.5258e-6</tt> </tt>
<a name="L133"></a><tt class="py-lineno">133</tt>  <tt class="py-line">    <tt class="py-name">a2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">6.836e-8</tt> </tt>
<a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line">    <tt class="py-name">a3</tt> <tt class="py-op">=</tt>  <tt class="py-number">6.6228e-10</tt> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line"> </tt>
<a name="L136"></a><tt class="py-lineno">136</tt>  <tt class="py-line">    <tt class="py-name">b0</tt> <tt class="py-op">=</tt> <tt class="py-op">+</tt><tt class="py-number">1.8932e-6</tt> </tt>
<a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line">    <tt class="py-name">b1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">4.2393e-8</tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line"> </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line">    <tt class="py-name">c0</tt> <tt class="py-op">=</tt> <tt class="py-op">+</tt><tt class="py-number">1.8741e-8</tt> </tt>
<a name="L140"></a><tt class="py-lineno">140</tt>  <tt class="py-line">    <tt class="py-name">c1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">6.7795e-10</tt> </tt>
<a name="L141"></a><tt class="py-lineno">141</tt>  <tt class="py-line">    <tt class="py-name">c2</tt> <tt class="py-op">=</tt> <tt class="py-op">+</tt><tt class="py-number">8.733e-12</tt> </tt>
<a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line">    <tt class="py-name">c3</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">5.4481e-14</tt> </tt>
<a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line"> </tt>
<a name="L144"></a><tt class="py-lineno">144</tt>  <tt class="py-line">    <tt class="py-name">d0</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.1351e-10</tt> </tt>
<a name="L145"></a><tt class="py-lineno">145</tt>  <tt class="py-line">    <tt class="py-name">d1</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.7759e-12</tt> </tt>
<a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line"> </tt>
<a name="L147"></a><tt class="py-lineno">147</tt>  <tt class="py-line">    <tt class="py-name">e0</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">4.6206e-13</tt> </tt>
<a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line">    <tt class="py-name">e1</tt> <tt class="py-op">=</tt> <tt class="py-op">+</tt><tt class="py-number">1.8676e-14</tt> </tt>
<a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line">    <tt class="py-name">e2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">2.1687e-16</tt> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line"> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt>  <tt class="py-name">a0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a2</tt> <tt class="py-op">+</tt> <tt class="py-name">a3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt>  \ </tt>
<a name="L152"></a><tt class="py-lineno">152</tt>  <tt class="py-line">         <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">b0</tt> <tt class="py-op">+</tt> <tt class="py-name">b1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">-</tt><tt class="py-number">35</tt><tt class="py-op">)</tt>  \ </tt>
<a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line">         <tt class="py-op">+</tt> <tt class="py-op">(</tt> <tt class="py-op">(</tt><tt class="py-name">c0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">c1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">c2</tt> <tt class="py-op">+</tt> <tt class="py-name">c3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt> \ </tt>
<a name="L154"></a><tt class="py-lineno">154</tt>  <tt class="py-line">         <tt class="py-op">+</tt>   <tt class="py-op">(</tt><tt class="py-name">d0</tt> <tt class="py-op">+</tt> <tt class="py-name">d1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">-</tt><tt class="py-number">35</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt> \ </tt>
<a name="L155"></a><tt class="py-lineno">155</tt>  <tt class="py-line">         <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">e0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">e1</tt> <tt class="py-op">+</tt> <tt class="py-name">e2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">*</tt><tt class="py-name">P</tt> </tt>
</div><a name="L156"></a><tt class="py-lineno">156</tt>  <tt class="py-line"> </tt>
<a name="L157"></a><tt class="py-lineno">157</tt>  <tt class="py-line"><tt class="py-comment"># ---------------------------------------------------------------</tt> </tt>
<a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="temppot"></a><div id="temppot-def"><a name="L159"></a><tt class="py-lineno">159</tt> <a class="py-toggle" href="#" id="temppot-toggle" onclick="return toggle('temppot');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.heat-module.html#temppot">temppot</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt> <tt class="py-param">T</tt><tt class="py-op">,</tt> <tt class="py-param">P</tt><tt class="py-op">,</tt> <tt class="py-param">Pref</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="temppot-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="temppot-expanded"><a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line">    <tt class="py-docstring">"""Compute potential temperature</tt> </tt>
<a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L162"></a><tt class="py-lineno">162</tt>  <tt class="py-line"><tt class="py-docstring">    Usage: temppot(S, T, P, [Pref])</tt> </tt>
<a name="L163"></a><tt class="py-lineno">163</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L164"></a><tt class="py-lineno">164</tt>  <tt class="py-line"><tt class="py-docstring">    Input:</tt> </tt>
<a name="L165"></a><tt class="py-lineno">165</tt>  <tt class="py-line"><tt class="py-docstring">        S = Salinity,                [PSS-78]</tt> </tt>
<a name="L166"></a><tt class="py-lineno">166</tt>  <tt class="py-line"><tt class="py-docstring">        T = Temperature,             [&#176;C]</tt> </tt>
<a name="L167"></a><tt class="py-lineno">167</tt>  <tt class="py-line"><tt class="py-docstring">        P = Pressure,                [dbar]</tt> </tt>
<a name="L168"></a><tt class="py-lineno">168</tt>  <tt class="py-line"><tt class="py-docstring">        Pref = Reference pressure,   [dbar]</tt> </tt>
<a name="L169"></a><tt class="py-lineno">169</tt>  <tt class="py-line"><tt class="py-docstring">    Pref is optional, with a default value = zero</tt> </tt>
<a name="L170"></a><tt class="py-lineno">170</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L171"></a><tt class="py-lineno">171</tt>  <tt class="py-line"><tt class="py-docstring">    Output:</tt> </tt>
<a name="L172"></a><tt class="py-lineno">172</tt>  <tt class="py-line"><tt class="py-docstring">        Potential temperature,  [&#176;C]</tt> </tt>
<a name="L173"></a><tt class="py-lineno">173</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L174"></a><tt class="py-lineno">174</tt>  <tt class="py-line"><tt class="py-docstring">    Algorithm: UNESCO 1983</tt> </tt>
<a name="L175"></a><tt class="py-lineno">175</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L176"></a><tt class="py-lineno">176</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L177"></a><tt class="py-lineno">177</tt>  <tt class="py-line">     </tt>
<a name="L178"></a><tt class="py-lineno">178</tt>  <tt class="py-line">    <tt class="py-name">H</tt> <tt class="py-op">=</tt> <tt class="py-name">Pref</tt><tt class="py-op">-</tt><tt class="py-name">P</tt> </tt>
<a name="L179"></a><tt class="py-lineno">179</tt>  <tt class="py-line">    <tt class="py-name">XK</tt> <tt class="py-op">=</tt> <tt class="py-name">H</tt><tt class="py-op">*</tt><tt id="link-0" class="py-name" targets="Function octant.sw.heat.adtgrad()=octant.sw.heat-module.html#adtgrad"><a title="octant.sw.heat.adtgrad" class="py-name" href="#" onclick="return doclink('link-0', 'adtgrad', 'link-0');">adtgrad</a></tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> </tt>
<a name="L180"></a><tt class="py-lineno">180</tt>  <tt class="py-line"> </tt>
<a name="L181"></a><tt class="py-lineno">181</tt>  <tt class="py-line">    <tt class="py-name">T</tt> <tt class="py-op">=</tt> <tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-number">0.5</tt><tt class="py-op">*</tt><tt class="py-name">XK</tt> </tt>
<a name="L182"></a><tt class="py-lineno">182</tt>  <tt class="py-line">    <tt class="py-name">Q</tt> <tt class="py-op">=</tt> <tt class="py-name">XK</tt> </tt>
<a name="L183"></a><tt class="py-lineno">183</tt>  <tt class="py-line">    <tt class="py-name">P</tt> <tt class="py-op">=</tt> <tt class="py-name">P</tt> <tt class="py-op">+</tt> <tt class="py-number">0.5</tt><tt class="py-op">*</tt><tt class="py-name">H</tt> </tt>
<a name="L184"></a><tt class="py-lineno">184</tt>  <tt class="py-line">    <tt class="py-name">XK</tt> <tt class="py-op">=</tt> <tt class="py-name">H</tt><tt class="py-op">*</tt><tt id="link-1" class="py-name"><a title="octant.sw.heat.adtgrad" class="py-name" href="#" onclick="return doclink('link-1', 'adtgrad', 'link-0');">adtgrad</a></tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> </tt>
<a name="L185"></a><tt class="py-lineno">185</tt>  <tt class="py-line"> </tt>
<a name="L186"></a><tt class="py-lineno">186</tt>  <tt class="py-line">    <tt class="py-name">T</tt> <tt class="py-op">=</tt> <tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-number">0.29289322</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">XK</tt><tt class="py-op">-</tt><tt class="py-name">Q</tt><tt class="py-op">)</tt> </tt>
<a name="L187"></a><tt class="py-lineno">187</tt>  <tt class="py-line">    <tt class="py-name">Q</tt> <tt class="py-op">=</tt> <tt class="py-number">0.58578644</tt><tt class="py-op">*</tt><tt class="py-name">XK</tt> <tt class="py-op">+</tt> <tt class="py-number">0.121320344</tt><tt class="py-op">*</tt><tt class="py-name">Q</tt> </tt>
<a name="L188"></a><tt class="py-lineno">188</tt>  <tt class="py-line">    <tt class="py-name">XK</tt> <tt class="py-op">=</tt> <tt class="py-name">H</tt><tt class="py-op">*</tt><tt id="link-2" class="py-name"><a title="octant.sw.heat.adtgrad" class="py-name" href="#" onclick="return doclink('link-2', 'adtgrad', 'link-0');">adtgrad</a></tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> </tt>
<a name="L189"></a><tt class="py-lineno">189</tt>  <tt class="py-line">     </tt>
<a name="L190"></a><tt class="py-lineno">190</tt>  <tt class="py-line">    <tt class="py-name">T</tt> <tt class="py-op">=</tt> <tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-number">1.707106781</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">XK</tt><tt class="py-op">-</tt><tt class="py-name">Q</tt><tt class="py-op">)</tt> </tt>
<a name="L191"></a><tt class="py-lineno">191</tt>  <tt class="py-line">    <tt class="py-name">Q</tt> <tt class="py-op">=</tt> <tt class="py-number">3.414213562</tt><tt class="py-op">*</tt><tt class="py-name">XK</tt> <tt class="py-op">-</tt> <tt class="py-number">4.121320344</tt><tt class="py-op">*</tt><tt class="py-name">Q</tt> </tt>
<a name="L192"></a><tt class="py-lineno">192</tt>  <tt class="py-line">    <tt class="py-name">P</tt> <tt class="py-op">=</tt> <tt class="py-name">P</tt> <tt class="py-op">+</tt> <tt class="py-number">0.5</tt><tt class="py-op">*</tt><tt class="py-name">H</tt> </tt>
<a name="L193"></a><tt class="py-lineno">193</tt>  <tt class="py-line">    <tt class="py-name">XK</tt> <tt class="py-op">=</tt> <tt class="py-name">H</tt><tt class="py-op">*</tt><tt id="link-3" class="py-name"><a title="octant.sw.heat.adtgrad" class="py-name" href="#" onclick="return doclink('link-3', 'adtgrad', 'link-0');">adtgrad</a></tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> </tt>
<a name="L194"></a><tt class="py-lineno">194</tt>  <tt class="py-line">     </tt>
<a name="L195"></a><tt class="py-lineno">195</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">XK</tt><tt class="py-op">-</tt><tt class="py-number">2.0</tt><tt class="py-op">*</tt><tt class="py-name">Q</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-number">6.0</tt>     </tt>
</div><a name="L196"></a><tt class="py-lineno">196</tt>  <tt class="py-line">     </tt>
<a name="L197"></a><tt class="py-lineno">197</tt>  <tt class="py-line"> </tt>
<a name="L198"></a><tt class="py-lineno">198</tt>  <tt class="py-line"><tt class="py-comment"># ------------------------------------------------------</tt> </tt>
<a name="L199"></a><tt class="py-lineno">199</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="temppot0"></a><div id="temppot0-def"><a name="L200"></a><tt class="py-lineno">200</tt> <a class="py-toggle" href="#" id="temppot0-toggle" onclick="return toggle('temppot0');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.heat-module.html#temppot0">temppot0</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt><tt class="py-param">T</tt><tt class="py-op">,</tt><tt class="py-param">P</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="temppot0-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="temppot0-expanded"><a name="L201"></a><tt class="py-lineno">201</tt>  <tt class="py-line">    <tt class="py-docstring">"""Compute potential temperature relative to surface</tt> </tt>
<a name="L202"></a><tt class="py-lineno">202</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L203"></a><tt class="py-lineno">203</tt>  <tt class="py-line"><tt class="py-docstring">    Usage: temppot0(S, T, P)</tt> </tt>
<a name="L204"></a><tt class="py-lineno">204</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L205"></a><tt class="py-lineno">205</tt>  <tt class="py-line"><tt class="py-docstring">    Input:</tt> </tt>
<a name="L206"></a><tt class="py-lineno">206</tt>  <tt class="py-line"><tt class="py-docstring">        S = Salinity,                [PSS-78]</tt> </tt>
<a name="L207"></a><tt class="py-lineno">207</tt>  <tt class="py-line"><tt class="py-docstring">        T = Temperature,             [&#176;C]</tt> </tt>
<a name="L208"></a><tt class="py-lineno">208</tt>  <tt class="py-line"><tt class="py-docstring">        P = Pressure,                [dbar]</tt> </tt>
<a name="L209"></a><tt class="py-lineno">209</tt>  <tt class="py-line"><tt class="py-docstring"> </tt> </tt>
<a name="L210"></a><tt class="py-lineno">210</tt>  <tt class="py-line"><tt class="py-docstring">    Output:</tt> </tt>
<a name="L211"></a><tt class="py-lineno">211</tt>  <tt class="py-line"><tt class="py-docstring">        Potential temperature,       [&#176;C]</tt> </tt>
<a name="L212"></a><tt class="py-lineno">212</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L213"></a><tt class="py-lineno">213</tt>  <tt class="py-line"><tt class="py-docstring">    Algorithm: Bryden 1973</tt> </tt>
<a name="L214"></a><tt class="py-lineno">214</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L215"></a><tt class="py-lineno">215</tt>  <tt class="py-line"><tt class="py-docstring">    Note: Due to different algorithms,</tt> </tt>
<a name="L216"></a><tt class="py-lineno">216</tt>  <tt class="py-line"><tt class="py-docstring">        temppot0(S, T, P) != tempot(S, T, P, Pref=0)</tt> </tt>
<a name="L217"></a><tt class="py-lineno">217</tt>  <tt class="py-line"><tt class="py-docstring">  </tt> </tt>
<a name="L218"></a><tt class="py-lineno">218</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L219"></a><tt class="py-lineno">219</tt>  <tt class="py-line"> </tt>
<a name="L220"></a><tt class="py-lineno">220</tt>  <tt class="py-line">    <tt class="py-name">P</tt> <tt class="py-op">=</tt> <tt class="py-name">P</tt><tt class="py-op">/</tt><tt class="py-number">10</tt>  <tt class="py-comment"># Conversion from dbar</tt> </tt>
<a name="L221"></a><tt class="py-lineno">221</tt>  <tt class="py-line"> </tt>
<a name="L222"></a><tt class="py-lineno">222</tt>  <tt class="py-line">    <tt class="py-name">a0</tt> <tt class="py-op">=</tt>  <tt class="py-number">3.6504e-4</tt> </tt>
<a name="L223"></a><tt class="py-lineno">223</tt>  <tt class="py-line">    <tt class="py-name">a1</tt> <tt class="py-op">=</tt>  <tt class="py-number">8.3198e-5</tt> </tt>
<a name="L224"></a><tt class="py-lineno">224</tt>  <tt class="py-line">    <tt class="py-name">a2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">5.4065e-7</tt> </tt>
<a name="L225"></a><tt class="py-lineno">225</tt>  <tt class="py-line">    <tt class="py-name">a3</tt> <tt class="py-op">=</tt>  <tt class="py-number">4.0274e-9</tt> </tt>
<a name="L226"></a><tt class="py-lineno">226</tt>  <tt class="py-line"> </tt>
<a name="L227"></a><tt class="py-lineno">227</tt>  <tt class="py-line">    <tt class="py-name">b0</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.7439e-5</tt> </tt>
<a name="L228"></a><tt class="py-lineno">228</tt>  <tt class="py-line">    <tt class="py-name">b1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">2.9778e-7</tt> </tt>
<a name="L229"></a><tt class="py-lineno">229</tt>  <tt class="py-line"> </tt>
<a name="L230"></a><tt class="py-lineno">230</tt>  <tt class="py-line">    <tt class="py-name">c0</tt> <tt class="py-op">=</tt>  <tt class="py-number">8.9309e-7</tt> </tt>
<a name="L231"></a><tt class="py-lineno">231</tt>  <tt class="py-line">    <tt class="py-name">c1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">3.1628e-8</tt> </tt>
<a name="L232"></a><tt class="py-lineno">232</tt>  <tt class="py-line">    <tt class="py-name">c2</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.1987e-10</tt> </tt>
<a name="L233"></a><tt class="py-lineno">233</tt>  <tt class="py-line"> </tt>
<a name="L234"></a><tt class="py-lineno">234</tt>  <tt class="py-line">    <tt class="py-name">d0</tt> <tt class="py-op">=</tt>  <tt class="py-number">4.1057e-9</tt> </tt>
<a name="L235"></a><tt class="py-lineno">235</tt>  <tt class="py-line"> </tt>
<a name="L236"></a><tt class="py-lineno">236</tt>  <tt class="py-line">    <tt class="py-name">e0</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.6056e-10</tt> </tt>
<a name="L237"></a><tt class="py-lineno">237</tt>  <tt class="py-line">    <tt class="py-name">e1</tt> <tt class="py-op">=</tt>  <tt class="py-number">5.0484e-12</tt> </tt>
<a name="L238"></a><tt class="py-lineno">238</tt>  <tt class="py-line"> </tt>
<a name="L239"></a><tt class="py-lineno">239</tt>  <tt class="py-line">    <tt class="py-name">S0</tt> <tt class="py-op">=</tt> <tt class="py-name">S</tt> <tt class="py-op">-</tt> <tt class="py-number">35.0</tt> </tt>
<a name="L240"></a><tt class="py-lineno">240</tt>  <tt class="py-line"> </tt>
<a name="L241"></a><tt class="py-lineno">241</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt>  <tt class="py-name">T</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">a0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a2</tt> <tt class="py-op">+</tt> <tt class="py-name">a3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt>  \ </tt>
<a name="L242"></a><tt class="py-lineno">242</tt>  <tt class="py-line">              <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">b0</tt> <tt class="py-op">+</tt> <tt class="py-name">b1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">*</tt><tt class="py-name">S0</tt>                 \ </tt>
<a name="L243"></a><tt class="py-lineno">243</tt>  <tt class="py-line">              <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">c0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">c1</tt> <tt class="py-op">+</tt> <tt class="py-name">c2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">*</tt><tt class="py-name">P</tt>         \ </tt>
<a name="L244"></a><tt class="py-lineno">244</tt>  <tt class="py-line">              <tt class="py-op">+</tt> <tt class="py-name">d0</tt><tt class="py-op">*</tt><tt class="py-name">S0</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">*</tt><tt class="py-name">P</tt>                        \ </tt>
<a name="L245"></a><tt class="py-lineno">245</tt>  <tt class="py-line">              <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">e0</tt> <tt class="py-op">+</tt> <tt class="py-name">e1</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">*</tt><tt class="py-name">P</tt> </tt>
</div><a name="L246"></a><tt class="py-lineno">246</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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